50900382720 has 1056 divisors, whose sum is σ = 211702377600. Its totient is φ = 11548753920.

The previous prime is 50900382707. The next prime is 50900382721. The reversal of 50900382720 is 2728300905.

It is a happy number.

50900382720 is a `hidden beast` number, since 509 + 0 + 0 + 3 + 82 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×50900382720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50900382721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284359591 + ... + 284359769.

Almost surely, 2^50900382720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50900382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105851188800).

50900382720 is an abundant number, since it is smaller than the sum of its proper divisors (160801994880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50900382720 is a wasteful number, since it uses less digits than its factorization.

50900382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 50900382720 in words is "fifty billion, nine hundred million, three hundred eighty-two thousand, seven hundred twenty".